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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (6 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
3840.2.a.i	$3840$	$2$	3840.a	1.a	$1$	$1$	$1$	$30.663$	\(\Q\)	None	✓				1920.2.k.d	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-2q^{7}+q^{9}+6q^{11}-6q^{13}+\cdots\)
3840.2.a.k	$3840$	$2$	3840.a	1.a	$1$	$1$	$1$	$30.663$	\(\Q\)	None	✓				1920.2.k.a	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+2q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
3840.2.a.n	$3840$	$2$	3840.a	1.a	$1$	$1$	$1$	$30.663$	\(\Q\)	None	✓				960.2.k.a	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+4q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
3840.2.a.bf	$3840$	$2$	3840.a	1.a	$1$	$2$	$2$	$30.663$	\(\Q(\sqrt{3}) \)	None	✓				960.2.k.e	$1$	$0$	\(0\)	\(-2\)	\(2\)	\(-4\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-2q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots\)
3840.2.a.bh	$3840$	$2$	3840.a	1.a	$1$	$2$	$2$	$30.663$	\(\Q(\sqrt{2}) \)	None	✓				1920.2.k.i	$1$	$0$	\(0\)	\(-2\)	\(2\)	\(4\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+(2+\beta )q^{7}+q^{9}+(2-\beta )q^{11}+\cdots\)
3840.2.a.bp	$3840$	$2$	3840.a	1.a	$1$	$3$	$3$	$30.663$	3.3.316.1	None	✓		✓		120.2.k.b	$1$	$0$	\(0\)	\(-3\)	\(3\)	\(-2\)		$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+(-1-\beta _{1})q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)

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